84829072 has 40 divisors (see below), whose sum is σ = 173828160. Its totient is φ = 39991680.

The previous prime is 84829057. The next prime is 84829093. The reversal of 84829072 is 27092848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79422 + ... + 80482.

It is an arithmetic number, because the mean of its divisors is an integer number (4345704).

Almost surely, 2^84829072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84829072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86914080).

84829072 is an abundant number, since it is smaller than the sum of its proper divisors (88999088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84829072 is a wasteful number, since it uses less digits than its factorization.

84829072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 84829072 is about 9210.2699200403. The cubic root of 84829072 is about 439.3880473616.

The spelling of 84829072 in words is "eighty-four million, eight hundred twenty-nine thousand, seventy-two".